A Student Thinks That the Graphs of the Equations $$\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 36 } = 1 \text { and } \frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 36 } = 1$$

question 12

Essay

A student thinks that the graphs of the equations $$\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 36 } = 1 \text { and } \frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 36 } = 1$$ are identical. Is the student correct? Explain.

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Definitions:

Empirical Application

The use of empirical methods, including observation and experimentation, to apply theories or hypotheses in real-world settings.

Marxian Concepts

Ideas and theories developed by Karl Marx that address issues related to social class, economic systems, and the dynamics of capitalism and class struggle.

Competitive Capitalism

An economic system where businesses compete in a free market to gain advantage and success, often leading to innovation and consumer choices.

Monopoly Capitalism

An economic system in which large corporations dominate the market, leading to a concentration of economic power and wealth.